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''The average of 6 numbers is 12. Three of the numbers are:
18, 16, 11
If the three missing numbers are of the same value, what is the value of each missing number?''

Sagot :

madisonaw6789

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absor201

Answer:

The value of each missing number is 9.

Step-by-step explanation:

Given that:

Average of 6 numbers = 12

The numbers 18,16 and 11 are given.

As the other three numbers are of same value.

Let,

x be the missing number.

Sum of all numbers = 18+16+11+x+x+x

Sum of all numbers = 45+3x

Average = [tex]\frac{Sum\ of\ quantities}{Number\ of\ quantites}[/tex]

[tex]12=\frac{45+3x}{6}\\12*6 = 45+3x\\72=45+3x\\72-45=3x\\27=3x\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

Hence,

The value of each missing number is 9.

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